The I-75 Carpet Discount Store has an annual demand of 10,000 yards of super shag carpet. The annual carrying cost for a yard of carpet is $0.75 and the ordering cost is $150. The carpet manufacturer normally charges the store $8 per yard for the carpet.; however, the manufacturer has offered a discount price of $6.50 per yard if the store will order 5,000 yards. How much should the store order, and what will be the total inventory cost for that order quantity?

Alandowner and his neighbor purchased adjoining undeveloped lots. after both built homes on their respective lots, the landowner suggested to the neighbor that a common driveway be built where the two lots joined. the neighbor agreed. the landowner and the neighbor split the cost of constructing the driveway and entered into a written agreement to equally share the costs of its upkeep and maintenance. the agreement was recorded in the county recorder's office. two years later, the neighbor built a new driveway located entirely on his lot. the common driveway, which the landowner continued to use but which the neighbor no longer used, began to deteriorate. the landowner asked the neighbor for money to maintain the common driveway, but the neighbor refused to contribute. three years later, the neighbor conveyed his lot to a friend. the friend entered into possession and used only the driveway built by the neighbor. by this time, the common driveway had deteriorated badly and contained numerous potholes. the landowner asked the friend to pay half of what it would take to repair the common driveway. the friend refused. the landowner repaired the driveway and sued the friend for 50% of the cost of repairs. will the landowner prevail?

Which statement best explains the relationship between points a and b? a. consumption reaches its highest point, and then supply begins to fall. b. inflation reaches its highest point, and then the economy begins to expand. c. production reaches its highest point, and then the economy begins to contract. d. unemployment reaches its highest point, and then inflation begins to decrease.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.